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<a href="relatively__equal_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/***************************************************************************************************</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Copyright (c) 2017-2019, NVIDIA CORPORATION.  All rights reserved.</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * Redistribution and use in source and binary forms, with or without modification, are permitted</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> * provided that the following conditions are met:</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> *     * Redistributions of source code must retain the above copyright notice, this list of</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> *       conditions and the following disclaimer.</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *     * Redistributions in binary form must reproduce the above copyright notice, this list of</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> *       conditions and the following disclaimer in the documentation and/or other materials</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> *       provided with the distribution.</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> *     * Neither the name of the NVIDIA CORPORATION nor the names of its contributors may be used</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> *       to endorse or promote products derived from this software without specific prior written</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> *       permission.</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND ANY EXPRESS OR</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> * FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"> * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment"> * OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment"> * STRICT LIABILITY, OR TOR (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"> * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"> **************************************************************************************************/</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">/* \file</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">  \brief Performs comparison between two elements with support for floating-point comparisons.</span></div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">*/</span></div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#pragma once</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="numeric__types_8h.html">numeric_types.h</a>&quot;</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacecutlass.html">cutlass</a> {</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#aebc97e25721b38692159a6d50d545fe0">relatively_equal</a>(T a, T b, T epsilon, T nonzero_floor);</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespacecutlass_1_1detail.html">   43</a></span>&#160;<span class="keyword">namespace </span>detail {</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment">// This floating-point comparison function implements the method described in</span></div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">// https://floating-point-gui.de/errors/comparison/</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">   51</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">relatively_equal_float</a>(T a, T b, T epsilon, T nonzero_floor) {</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  </div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  <span class="keyword">using</span> <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">std::abs</a>;</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  T abs_A = <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(a);</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  T abs_B = <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(b);</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  T diff = <a class="code" href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">abs</a>(a - b);</div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  T zero = T(0);</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;  <span class="keywordflow">if</span> (a == b) {</div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;  }</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;  <span class="keywordflow">else</span> <span class="keywordflow">if</span> (a == zero || b == zero || diff &lt; nonzero_floor) {</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    <span class="keywordflow">return</span> diff &lt; epsilon * nonzero_floor;</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  }</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  </div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  <span class="keywordflow">return</span> diff &lt; epsilon * (abs_A + abs_B);</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;}</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;} <span class="comment">// namespace detail</span></div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="namespacecutlass.html#af61f11e5381980cae375cf02893f102e">   76</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#af61f11e5381980cae375cf02893f102e">relatively_equal&lt;uint1b_t&gt;</a>(<a class="code" href="structcutlass_1_1integer__subbyte.html">uint1b_t</a> a, <a class="code" href="structcutlass_1_1integer__subbyte.html">uint1b_t</a> b, <a class="code" href="namespacecutlass.html#a09a3695d6126aed7a7c01f431fa34b7d">uint1b_t</a>, <a class="code" href="namespacecutlass.html#a09a3695d6126aed7a7c01f431fa34b7d">uint1b_t</a>) {</div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;}</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="namespacecutlass.html#af7c5c3f6da119eafdde3244d7cf56797">   82</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#af7c5c3f6da119eafdde3244d7cf56797">relatively_equal&lt;int4b_t&gt;</a>(<a class="code" href="structcutlass_1_1integer__subbyte.html">int4b_t</a> a, <a class="code" href="structcutlass_1_1integer__subbyte.html">int4b_t</a> b, <a class="code" href="namespacecutlass.html#a30f409bb0c8a88a3307e5c7cd31f2384">int4b_t</a>, <a class="code" href="namespacecutlass.html#a30f409bb0c8a88a3307e5c7cd31f2384">int4b_t</a>) {</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ace93a25aa5f3ba5318465362cd5be2a1">   88</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#ace93a25aa5f3ba5318465362cd5be2a1">relatively_equal&lt;uint4b_t&gt;</a>(<a class="code" href="structcutlass_1_1integer__subbyte.html">uint4b_t</a> a, <a class="code" href="structcutlass_1_1integer__subbyte.html">uint4b_t</a> b, <a class="code" href="namespacecutlass.html#a674e7702adcb25f7d143d93926a2d61d">uint4b_t</a>, <a class="code" href="namespacecutlass.html#a674e7702adcb25f7d143d93926a2d61d">uint4b_t</a>) {</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;}</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a8ba332bb1c717a6d13c2ad9287cfe5cc">   94</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a8ba332bb1c717a6d13c2ad9287cfe5cc">relatively_equal&lt;int8_t&gt;</a>(int8_t a, int8_t b, int8_t, int8_t) {</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;}</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a301593d45e08bc8fa84a189261593879">  100</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a301593d45e08bc8fa84a189261593879">relatively_equal&lt;uint8_t&gt;</a>(uint8_t a, uint8_t b, uint8_t, uint8_t) {</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;}</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="namespacecutlass.html#aec96b8d17c5dc5c274fac2a3f94aecab">  106</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#aec96b8d17c5dc5c274fac2a3f94aecab">relatively_equal&lt;int16_t&gt;</a>(int16_t a, int16_t b, int16_t, int16_t) {</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;}</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a1a6c0b9fec0db0628b085c1b3021eb0f">  112</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a1a6c0b9fec0db0628b085c1b3021eb0f">relatively_equal&lt;uint16_t&gt;</a>(uint16_t a, uint16_t b, uint16_t, uint16_t) {</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;}</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ad7ce0f4e7abaf531c187dc535db935d4">  118</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#ad7ce0f4e7abaf531c187dc535db935d4">relatively_equal&lt;int32_t&gt;</a>(int32_t a, int32_t b, int32_t, int32_t) {</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;}</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="namespacecutlass.html#aa869ccb365e73fa0c00b272b8e64eef2">  124</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#aa869ccb365e73fa0c00b272b8e64eef2">relatively_equal&lt;uint32_t&gt;</a>(uint32_t a, uint32_t b, uint32_t, uint32_t) {</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;}</div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a9f5f21efb4b2490f8bf51a9eeee3e24f">  130</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a9f5f21efb4b2490f8bf51a9eeee3e24f">relatively_equal&lt;int64_t&gt;</a>(int64_t a, int64_t b, int64_t, int64_t) {</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;}</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a8f182001e54b8704d0cfc2e7b1456faf">  136</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a8f182001e54b8704d0cfc2e7b1456faf">relatively_equal&lt;uint64_t&gt;</a>(uint64_t a, uint64_t b, uint64_t, uint64_t) {</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <span class="keywordflow">return</span> (a == b);</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;}</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00144"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a26d02a5d1ffaf25731c3d6fb09ee1990">  144</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a26d02a5d1ffaf25731c3d6fb09ee1990">relatively_equal&lt;half_t&gt;</a>(<a class="code" href="structcutlass_1_1half__t.html">half_t</a> a, <a class="code" href="structcutlass_1_1half__t.html">half_t</a> b, <a class="code" href="structcutlass_1_1half__t.html">half_t</a> epsilon, <a class="code" href="structcutlass_1_1half__t.html">half_t</a> nonzero_floor) {</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">detail::relatively_equal_float</a>(a, b, epsilon, nonzero_floor);</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;}</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="namespacecutlass.html#a630d3b4208f2c6fd8a5d2a6dcdd990aa">  150</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#a630d3b4208f2c6fd8a5d2a6dcdd990aa">relatively_equal&lt;float&gt;</a>(<span class="keywordtype">float</span> a, <span class="keywordtype">float</span> b, <span class="keywordtype">float</span> epsilon, <span class="keywordtype">float</span> nonzero_floor) {</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">detail::relatively_equal_float</a>(a, b, epsilon, nonzero_floor);</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;}</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="keyword">template</span> &lt;&gt;</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;<a class="code" href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="namespacecutlass.html#ad5021c2735e27a869a571026bc9c6c7f">  157</a></span>&#160;<span class="keywordtype">bool</span> <a class="code" href="namespacecutlass.html#ad5021c2735e27a869a571026bc9c6c7f">relatively_equal&lt;double&gt;</a>(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> epsilon, <span class="keywordtype">double</span> nonzero_floor) {</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <span class="keywordflow">return</span> <a class="code" href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">detail::relatively_equal_float</a>(a, b, epsilon, nonzero_floor);</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;}</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;} <span class="comment">// namespace cutlass</span></div><div class="ttc" id="namespacecutlass_html_a8ba332bb1c717a6d13c2ad9287cfe5cc"><div class="ttname"><a href="namespacecutlass.html#a8ba332bb1c717a6d13c2ad9287cfe5cc">cutlass::relatively_equal&lt; int8_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int8_t &gt;(int8_t a, int8_t b, int8_t, int8_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:94</div></div>
<div class="ttc" id="namespacecutlass_html_ad5021c2735e27a869a571026bc9c6c7f"><div class="ttname"><a href="namespacecutlass.html#ad5021c2735e27a869a571026bc9c6c7f">cutlass::relatively_equal&lt; double &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; double &gt;(double a, double b, double epsilon, double nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:157</div></div>
<div class="ttc" id="namespacecutlass_html_a674e7702adcb25f7d143d93926a2d61d"><div class="ttname"><a href="namespacecutlass.html#a674e7702adcb25f7d143d93926a2d61d">cutlass::uint4b_t</a></div><div class="ttdeci">integer_subbyte&lt; 4, false &gt; uint4b_t</div><div class="ttdoc">4-bit Unsigned integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:158</div></div>
<div class="ttc" id="namespacecutlass_html"><div class="ttname"><a href="namespacecutlass.html">cutlass</a></div><div class="ttdef"><b>Definition:</b> aligned_buffer.h:35</div></div>
<div class="ttc" id="namespacecutlass_html_a512b1ef2b0213d48738cac7bbb87a98e"><div class="ttname"><a href="namespacecutlass.html#a512b1ef2b0213d48738cac7bbb87a98e">cutlass::abs</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE T abs(complex&lt; T &gt; const &amp;z)</div><div class="ttdoc">Returns the magnitude of the complex number. </div><div class="ttdef"><b>Definition:</b> complex.h:313</div></div>
<div class="ttc" id="namespacecutlass_html_a09a3695d6126aed7a7c01f431fa34b7d"><div class="ttname"><a href="namespacecutlass.html#a09a3695d6126aed7a7c01f431fa34b7d">cutlass::uint1b_t</a></div><div class="ttdeci">integer_subbyte&lt; 1, false &gt; uint1b_t</div><div class="ttdoc">1-bit Unsigned integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:152</div></div>
<div class="ttc" id="structcutlass_1_1integer__subbyte_html"><div class="ttname"><a href="structcutlass_1_1integer__subbyte.html">cutlass::integer_subbyte</a></div><div class="ttdoc">4-bit signed integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:42</div></div>
<div class="ttc" id="namespacecutlass_html_aebc97e25721b38692159a6d50d545fe0"><div class="ttname"><a href="namespacecutlass.html#aebc97e25721b38692159a6d50d545fe0">cutlass::relatively_equal</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal(T a, T b, T epsilon, T nonzero_floor)</div></div>
<div class="ttc" id="structcutlass_1_1half__t_html"><div class="ttname"><a href="structcutlass_1_1half__t.html">cutlass::half_t</a></div><div class="ttdoc">IEEE half-precision floating-point type. </div><div class="ttdef"><b>Definition:</b> half.h:126</div></div>
<div class="ttc" id="namespacecutlass_html_a301593d45e08bc8fa84a189261593879"><div class="ttname"><a href="namespacecutlass.html#a301593d45e08bc8fa84a189261593879">cutlass::relatively_equal&lt; uint8_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint8_t &gt;(uint8_t a, uint8_t b, uint8_t, uint8_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:100</div></div>
<div class="ttc" id="namespacecutlass_html_ad7ce0f4e7abaf531c187dc535db935d4"><div class="ttname"><a href="namespacecutlass.html#ad7ce0f4e7abaf531c187dc535db935d4">cutlass::relatively_equal&lt; int32_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int32_t &gt;(int32_t a, int32_t b, int32_t, int32_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:118</div></div>
<div class="ttc" id="namespacecutlass_html_a1a6c0b9fec0db0628b085c1b3021eb0f"><div class="ttname"><a href="namespacecutlass.html#a1a6c0b9fec0db0628b085c1b3021eb0f">cutlass::relatively_equal&lt; uint16_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint16_t &gt;(uint16_t a, uint16_t b, uint16_t, uint16_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:112</div></div>
<div class="ttc" id="namespacecutlass_html_af7c5c3f6da119eafdde3244d7cf56797"><div class="ttname"><a href="namespacecutlass.html#af7c5c3f6da119eafdde3244d7cf56797">cutlass::relatively_equal&lt; int4b_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int4b_t &gt;(int4b_t a, int4b_t b, int4b_t, int4b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:82</div></div>
<div class="ttc" id="namespacecutlass_html_aec96b8d17c5dc5c274fac2a3f94aecab"><div class="ttname"><a href="namespacecutlass.html#aec96b8d17c5dc5c274fac2a3f94aecab">cutlass::relatively_equal&lt; int16_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int16_t &gt;(int16_t a, int16_t b, int16_t, int16_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:106</div></div>
<div class="ttc" id="cutlass_8h_html_a28c2443a142676d3d71effdae1a986b1"><div class="ttname"><a href="cutlass_8h.html#a28c2443a142676d3d71effdae1a986b1">CUTLASS_HOST_DEVICE</a></div><div class="ttdeci">#define CUTLASS_HOST_DEVICE</div><div class="ttdef"><b>Definition:</b> cutlass.h:89</div></div>
<div class="ttc" id="numeric__types_8h_html"><div class="ttname"><a href="numeric__types_8h.html">numeric_types.h</a></div><div class="ttdoc">Top-level include for all CUTLASS numeric types. </div></div>
<div class="ttc" id="namespacecutlass_1_1detail_html_a761bb4b7b448dbc213d537ef3ded340c"><div class="ttname"><a href="namespacecutlass_1_1detail.html#a761bb4b7b448dbc213d537ef3ded340c">cutlass::detail::relatively_equal_float</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal_float(T a, T b, T epsilon, T nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:51</div></div>
<div class="ttc" id="namespacecutlass_html_aa869ccb365e73fa0c00b272b8e64eef2"><div class="ttname"><a href="namespacecutlass.html#aa869ccb365e73fa0c00b272b8e64eef2">cutlass::relatively_equal&lt; uint32_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint32_t &gt;(uint32_t a, uint32_t b, uint32_t, uint32_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:124</div></div>
<div class="ttc" id="namespacecutlass_html_a9f5f21efb4b2490f8bf51a9eeee3e24f"><div class="ttname"><a href="namespacecutlass.html#a9f5f21efb4b2490f8bf51a9eeee3e24f">cutlass::relatively_equal&lt; int64_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; int64_t &gt;(int64_t a, int64_t b, int64_t, int64_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:130</div></div>
<div class="ttc" id="namespacecutlass_html_a630d3b4208f2c6fd8a5d2a6dcdd990aa"><div class="ttname"><a href="namespacecutlass.html#a630d3b4208f2c6fd8a5d2a6dcdd990aa">cutlass::relatively_equal&lt; float &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; float &gt;(float a, float b, float epsilon, float nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:150</div></div>
<div class="ttc" id="namespacecutlass_html_a8f182001e54b8704d0cfc2e7b1456faf"><div class="ttname"><a href="namespacecutlass.html#a8f182001e54b8704d0cfc2e7b1456faf">cutlass::relatively_equal&lt; uint64_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint64_t &gt;(uint64_t a, uint64_t b, uint64_t, uint64_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:136</div></div>
<div class="ttc" id="namespacecutlass_html_ace93a25aa5f3ba5318465362cd5be2a1"><div class="ttname"><a href="namespacecutlass.html#ace93a25aa5f3ba5318465362cd5be2a1">cutlass::relatively_equal&lt; uint4b_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint4b_t &gt;(uint4b_t a, uint4b_t b, uint4b_t, uint4b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:88</div></div>
<div class="ttc" id="namespacecutlass_html_af61f11e5381980cae375cf02893f102e"><div class="ttname"><a href="namespacecutlass.html#af61f11e5381980cae375cf02893f102e">cutlass::relatively_equal&lt; uint1b_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; uint1b_t &gt;(uint1b_t a, uint1b_t b, uint1b_t, uint1b_t)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:76</div></div>
<div class="ttc" id="namespacecutlass_html_a30f409bb0c8a88a3307e5c7cd31f2384"><div class="ttname"><a href="namespacecutlass.html#a30f409bb0c8a88a3307e5c7cd31f2384">cutlass::int4b_t</a></div><div class="ttdeci">integer_subbyte&lt; 4, true &gt; int4b_t</div><div class="ttdoc">4-bit Integer type </div><div class="ttdef"><b>Definition:</b> integer_subbyte.h:155</div></div>
<div class="ttc" id="namespacecutlass_html_a26d02a5d1ffaf25731c3d6fb09ee1990"><div class="ttname"><a href="namespacecutlass.html#a26d02a5d1ffaf25731c3d6fb09ee1990">cutlass::relatively_equal&lt; half_t &gt;</a></div><div class="ttdeci">CUTLASS_HOST_DEVICE bool relatively_equal&lt; half_t &gt;(half_t a, half_t b, half_t epsilon, half_t nonzero_floor)</div><div class="ttdef"><b>Definition:</b> relatively_equal.h:144</div></div>
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